Question

-4(y - 7)

solve the algebraic expression

Answer 1

1/4x - 36
which expression is equivalent.

1/4 (x + 144)

1/4(x - 144)

1/4 (x - 9)

4x - 9

Answer 2

To solve the algebraic expression -4(y - 7), we'll follow the order of operations (PEMDAS).

1. First, distribute -4 to terms inside the parentheses:
-4 * y = -4y
-4 * 7 = -28

2. Rewrite the expression with the distributed terms:
-4(y - 7) = -4y + 28

Therefore, the simplified algebraic expression is -4y + 28.

Answer 3

The expression equivalent to 1/4x - 36 is 1/4(x + 144).

To see why, let's simplify each option:

1/4(x + 144) = (1/4)x + (1/4)(144) = 1/4x + 36

1/4(x - 144) = (1/4)x - (1/4)(144) = 1/4x - 36

1/4(x - 9) = (1/4)x - (1/4)(9) = 1/4x - 9/4

4x - 9 is not equivalent to 1/4x - 36.

Therefore, the only option equivalent to 1/4x - 36 is 1/4(x + 144).